It's not a Beatles album but both George Harrison and Ringo Starr played on ELO's 2001 release Zoom. Have you heard that one? It's an interesting album... It's like Jeff Lynne was picking up right where he left off with ELO back in the 80s. Listening to the album you'd almost forget that the previous 15 years or so had ever even happened. In this particular case, that's not really a bad thing.
My only gripe about it is that Lynne released it as an ELO album. Lynne was the only remaining member of the band in ELO. I wish he'd just called a spade a spade and released it as a solo album.
To me it sounded like a cross between George Harrison's Cloud 9 album and some of ELO's early-mid 80s material.
I love Zoom, and I really wish he had toured in support of it. Doesn't "Ordinary Dream" sound like a lost George Harrison track to you?